3429346464000 has 288 divisors, whose sum is σ = 12656196833280. Its totient is φ = 914492160000.

The previous prime is 3429346463999. The next prime is 3429346464041. The reversal of 3429346464000 is 4646439243.

It is a happy number.

3429346464000 is a `hidden beast` number, since 3 + 42 + 93 + 464 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120576 + ... + 2848575.

Almost surely, 2^{3429346464000} is an apocalyptic number.

3429346464000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3429346464000 is an abundant number, since it is smaller than the sum of its proper divisors (9226850369280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3429346464000 is an equidigital number, since it uses as much as digits as its factorization.

3429346464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969191 (or 3969161 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3429346464000 in words is "three trillion, four hundred twenty-nine billion, three hundred forty-six million, four hundred sixty-four thousand".